Geodesic
Addendum to “Limit Sets of Typical Homeomorphisms”
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 240-244

Voir la notice de l'article provenant de la source Cambridge University Press

Given an integer $n\,\ge \,3$ , a metrizable compact topological $n$ -manifold $X$ with boundary, and a finite positive Borel measure $\mu$ on $X$ , we prove that for the typical homeomorphism $f:\,X\,\to \,X$ , it is true that for $\mu$ -almost every point $x$ in $X$ the restriction of $f$ (respectively of ${{f}^{-1}}$ ) to the omega limit set $\omega \left( f,\,x \right)$ (respectively to the alpha limit set $\alpha \left( f,\,x \right)$ ) is topologically conjugate to the universal odometer.
DOI : 10.4153/CMB-2012-033-1
Mots-clés : 37B20, 54H20, 28C15, 54C35, 54E52, topological manifolds, homeomorphisms, measures, Baire category, limit sets 
Jr., Nilson C. Bernardes. Addendum to “Limit Sets of Typical Homeomorphisms”. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 240-244. doi: 10.4153/CMB-2012-033-1
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